Question

(Continuation of question) can be used to convert a temperature C in degrees Celsius to an equivalent temperature f in degrees Fahrenheit

Answer 1

Answer

Part A

c(-40) = -40 degree Celsius

f(-40) = -40 degree Fahrenheit

Part B

The answers from part A show that -40 degrees is where the Celsius and Fahrenheit scale are both equal to each other.

-40 degrees Celsius = -40 degree Fahrenheit.

Explanation

The function c(f) = (5/9) (f - 32) can be used to convert temperature from degree Fahrenheit into degree Celsius.

And f(c) = (9c/5) + 32 can be used to convert degree Celsius back to degree Fahrenheit.

We are then told to convert -40 degree Fahrenheit into degree Celsius, that is, c(-40).

And -40 degree Celsius back into degree Fahrenheit, that is, f(-40)

$\begin{gathered} c(f)=\frac{5}{9}(f-32) \\ c(-40)=\frac{5}{9}(-40-32) \\ c(-40)=\frac{5}{9}(-72) \\ c(-40)=-40\text{ degre}e\text{ Ceslius} \end{gathered}$

Then for the other one,

$\begin{gathered} f(c)=\frac{9}{5}c+32 \\ f(-40)=\frac{9}{5}(-40)+32 \\ f(-40)=-72+32 \\ f(-40)=-40\text{ degre}e\text{ Fahrenheit} \end{gathered}$

Part B

The answers from part A show that -40 degrees is where the Celsius and Fahrenheit scale are both equal to each other.

-40 degrees Celsius = -40 degree Fahrenheit.

Hope this Helps!!!